Finding the Fourth Proportional to 1,345.98, 1,857.39 and 822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.98 : 1,857.39 = 822.06 : x
2. Step 2: Convert to fraction form
   1,345.98/1,857.39 = 822.06/x
3. Step 3: Cross multiply
   1,345.98x = 1,857.39 × 822.06
4. Step 4: Simplify right side
   1,345.98x = 1,526,886.02
5. Step 5: Solve for x
   x = 1,526,886.02/1,345.98
6. Step 6: Final answer
   x = 1,134.40